On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices
V. N. Kublanovskaya · SIAM Journal on Numerical Analysis · 1970
Previous article Next article On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-MatricesV. N. KublanovskayaV. N. Kublanovskayahttps://doi.org/10.1137/0707043PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] D. K. Faddeev, , V. N. Kublanovskaja and , V. N. Faddeeva, Linear algebraic systems with rectangular matrices, Modern Numerical Methods, No. 1, Computational Methods of Linear Algebra (Proc. Internat. Summer School on Numerical Methods, Kiev, 1966) (Russian), Vyčisl. Centr Akad. Nauk SSSR, Moscow, 1968, 16–75 MR0245581 Google Scholar[2] V. N. Kublanovskaya, On a method of solution of'the complete problem of eigenvalues of a degenerate matrix, J. Computational Math. and Math. Phys., 6 (1966), 611–620 0171.36003 Google Scholar[3] V. N. Kublanovskaya, Some estimates for eigenvalues of a positive definite matrix, J. Computational Math. and Math. Phys., 5 (1965), 101–111 0153.46201 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Spectral Distribution and Numerical Methods for Rational Eigenvalue Problems20 June 2022 | Symmetry, Vol. 14, No. 6 Cross Ref Modified successive approximation methods for the nonlinear eigenvalue problemsApplied Numerical Mathematics, Vol. 164 Cross Ref Successive linear Newton interpolation methods for solving the large-scale nonlinear eigenvalue problemsApplied Mathematics and Computation, Vol. 387 Cross Ref Stability test and dominant eigenvalues computation for second-order linear systems with multiple time-delays using receptance methodMechanical Systems and Signal Processing, Vol. 137 Cross Ref Broyden's Method for Nonlinear EigenproblemsElias Jarlebring3 April 2019 | SIAM Journal on Scientific Computing, Vol. 41, No. 2AbstractPDF (1359 KB)The inexact residual iteration method for quadratic eigenvalue problem and the analysis of convergenceJournal of Computational and Applied Mathematics, Vol. 332 Cross Ref Successive mth approximation method for the nonlinear eigenvalue problem30 September 2015 | Computational and Applied Mathematics, Vol. 36, No. 2 Cross Ref The nonlinear eigenvalue problem5 May 2017 | Acta Numerica, Vol. 26 Cross Ref Comparison of non-linear eigensolvers for modal analysis of frequency dependent laminated visco-elastic sandwich platesFinite Elements in Analysis and Design, Vol. 121 Cross Ref A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue ProblemsACM Transactions on Mathematical Software, Vol. 43, No. 1 Cross Ref Stability analysis of time-delay systems using a contour integral methodApplied Mathematics and Computation, Vol. 273 Cross Ref A novel numerical method to determine the algebraic multiplicity of nonlinear eigenvaluesApplied Mathematics and Computation, Vol. 271 Cross Ref Nonlinear Eigenvalue Problems26 November 2013 Cross Ref Solving polynomial eigenvalue problems by means of the Ehrlich–Aberth methodLinear Algebra and its Applications, Vol. 439, No. 4 Cross Ref A Mathematical and Numerical Investigation of the Hemodynamical Origins of Oscillations in Microvascular Networks16 February 2013 | Bulletin of Mathematical Biology, Vol. 75, No. 4 Cross Ref Convergence Orders of Iterative Methods for Nonlinear Eigenvalue Problems Cross Ref Convergence factors of Newton methods for nonlinear eigenvalue problemsLinear Algebra and its Applications, Vol. 436, No. 10 Cross Ref A structure-preserving doubling algorithm for quadratic eigenvalue problems arising from time-delay systemsJournal of Computational and Applied Mathematics, Vol. 233, No. 8 Cross Ref Rational Krylov for Nonlinear Eigenproblems, an Iterative Projection MethodApplications of Mathematics, Vol. 50, No. 6 Cross Ref Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods8 May 2014 | GAMM-Mitteilungen, Vol. 27, No. 2 Cross Ref A Projection Method for a Rational Eigenvalue Problem in Fluid-Structure Interaction10 April 2002 Cross Ref The Quadratic Eigenvalue ProblemFrançoise Tisseur and Karl Meerbergen4 August 2006 | SIAM Review, Vol. 43, No. 2AbstractPDF (1926 KB)Eigenvalue computation in the 20th century Cross Ref Eigenvalue computation in the 20th centuryJournal of Computational and Applied Mathematics, Vol. 123, No. 1-2 Cross Ref Backward error and condition of polynomial eigenvalue problemsLinear Algebra and its Applications, Vol. 309, No. 1-3 Cross Ref Methods and algorithms of solving spectral problems for polynomial and rational matricesJournal of Mathematical Sciences, Vol. 96, No. 3 Cross Ref Computational methods for the acoustic modal analysis of an enclosed fluid with application to a loudspeaker cabinetApplied Acoustics, Vol. 48, No. 4 Cross Ref Two-step component-mode synthesis for the eigensolution of large systemsAIAA Journal, Vol. 34, No. 7 Cross Ref An algorithm for computing the eigenstructure of a regular matrix polynomialLinear Algebra and its Applications, Vol. 91 Cross Ref The generalized eigenvalue problem and acoustic surface wave computationsComputing, Vol. 39, No. 1 Cross Ref The local evaluation of the derivative of a determinantJournal of Computational Physics, Vol. 65, No. 1 Cross Ref On roots of functional lambda matricesComputer Methods in Applied Mechanics and Engineering, Vol. 40, No. 3 Cross Ref On Kublanovskaya’s Approach to the Solution of the Generalized Latent Value Problem for Functional $\lambda $-MatricesNarendra K. 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